Problem

Add. Then write the sum in lowest terms.
\[
\frac{7}{30}+\frac{18}{30}+\frac{17}{30}=
\]
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Answer

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Answer

Final Answer: The sum of the fractions in lowest terms is \(\boxed{\frac{7}{5}}\).

Steps

Step 1 :Given fractions are \(\frac{7}{30}\), \(\frac{18}{30}\), and \(\frac{17}{30}\).

Step 2 :Since the denominators are the same, we can add the numerators directly to get \(7 + 18 + 17 = 42\). So, the sum of the fractions is \(\frac{42}{30}\).

Step 3 :To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 42 and 30 is 6.

Step 4 :We divide both the numerator and the denominator by the GCD to get the fraction in its simplest form. So, \(\frac{42}{30} = \frac{7}{5}\).

Step 5 :Final Answer: The sum of the fractions in lowest terms is \(\boxed{\frac{7}{5}}\).

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